Algebra Examples

$(2, - 14)$ and $(- 3, 0)$

Step 1

Use the midpoint formula to find the midpoint of the line segment.

$(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Step 2

Substitute in the values for $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ .

$(\frac{2 - 3}{2}, \frac{- 14 + 0}{2})$

Step 3

Subtract $3$ from $2$ .

$(\frac{- 1}{2}, \frac{- 14 + 0}{2})$

Step 4

Move the negative in front of the fraction.

$(- \frac{1}{2}, \frac{- 14 + 0}{2})$

Step 5

Cancel the common factor of $- 14 + 0$ and $2$ .

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Step 5.1

Factor $2$ out of $- 14$ .

$(- \frac{1}{2}, \frac{2 \cdot - 7 + 0}{2})$

Step 5.2

Factor $2$ out of $0$ .

$(- \frac{1}{2}, \frac{2 \cdot - 7 + 2 \cdot 0}{2})$

Step 5.3

Factor $2$ out of $2 \cdot - 7 + 2 \cdot 0$ .

$(- \frac{1}{2}, \frac{2 \cdot (- 7 + 0)}{2})$

Step 5.4

Cancel the common factors.

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Step 5.4.1

Factor $2$ out of $2$ .

$(- \frac{1}{2}, \frac{2 \cdot (- 7 + 0)}{2 (1)})$

Step 5.4.2

Cancel the common factor.

$(- \frac{1}{2}, \frac{2 \cdot (- 7 + 0)}{2 \cdot 1})$

Step 5.4.3

Rewrite the expression.

$(- \frac{1}{2}, \frac{- 7 + 0}{1})$

Step 5.4.4

Divide $- 7 + 0$ by $1$ .

$(- \frac{1}{2}, - 7 + 0)$

Step 6

Add $- 7$ and $0$ .

$(- \frac{1}{2}, - 7)$

Step 7